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Finding the Fourth Proportional to 978,434,401.60, 1,467,651,602.40 and 903,607,508.80

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Solution

The fourth proportional to 978,434,401.60, 1,467,651,602.40 and 903,607,508.80 is: 1,355,411,263.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,434,401.60 : 1,467,651,602.40 = 903,607,508.80 : x
  2. Step 2: Convert to fraction form
    978,434,401.60/1,467,651,602.40 = 903,607,508.80/x
  3. Step 3: Cross multiply
    978,434,401.60x = 1,467,651,602.40 × 903,607,508.80
  4. Step 4: Simplify right side
    978,434,401.60x = 1,326,181,008,230,992,128
  5. Step 5: Solve for x
    x = 1,326,181,008,230,992,128/978,434,401.60
  6. Step 6: Final answer
    x = 1,355,411,263.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.